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用循环矩阵构造整谱有向图
引用本文:张洪瑞.用循环矩阵构造整谱有向图[J].郑州大学学报(理学版),2005,37(4):28-34.
作者姓名:张洪瑞
作者单位:华北水利水电学院数学与信息科学系,郑州,450002
摘    要:通过研究循环图的结构特征与其谱之间的关系,得到循环图是整谱图的条件,并由此获得了一种全新的构造整有向图的方法,可以找到了一些新的整有向图.

关 键 词:循环图  循环矩阵  2-层循环矩阵  多层循环矩阵  基矩阵  整有向图  高斯整谱有向图
文章编号:1671-6841(2005)04-0028-07
收稿时间:04 30 2005 12:00AM
修稿时间:2005年4月30日

Constructing Integral Directed Graphs by Circulant Matrix Methods
Zhang Hongrui.Constructing Integral Directed Graphs by Circulant Matrix Methods[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(4):28-34.
Authors:Zhang Hongrui
Institution:Department of Mathematics and Information Sciences ,North China Institute of Water Conservancy and Hydroelectric Power ,Zhengzhou 450002,China
Abstract:The fact that under some conditions circulant graphs have integral spectra is discovered through the research on the relationship between the circulant graphs and their spectra. And a new method is obtained,by which some integral directed graphs can he constructed.
Keywords:circulant graph  circulant matix  2-level circulant matrix  multi-level circulant matrixbasic matrix  integral directed graph  Guassian integral directed graph
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